addition year 3 problem solving

Addition & subtraction in Year 3 (age 7–8)

In Year 3, your child will use a range of strategies for calculating addition and subtraction problems. They will need to be able to explain how they have solved problems, especially when using mental maths.

The key words for this section are  commutative , difference , and place value .

What your child will learn

Take a look at the National Curriculum expectations for addition and subtraction in Year 3 (ages 7–8):

Add and subtract numbers mentally

Your child will need to mentally calculate sums involving:

• a three-digit number and 1s (for example, 234 +/– 7)
• a three-digit number and 10s (for example, 534 +/– 20)
• a three-digit number and 100s (for example, 635 +/– 300)

They will be taught lots of strategies to do this. It is good to use several strategies to check answers.

Add and subtract numbers with up to three digits

Estimate answers to calculations and use inverse operations to check answers.

Estimate £5.73 + £13.12 + £2.14 = ? Rounding to the nearest £1, the sum is £6 + £13 + £2 = £21. So, when we work out the answer accurately, we can except the answer to be about £21. If it is not, we know that something has probably gone wrong with our calculation.

Solve complex problems using number facts and place value

Your child should now know several different ways to work out addition and subtraction problems. These include using place value, number facts, partitioning, and diagrams. They will need to be able to choose a method to solve a problem, and to check their answer using a different method.

Your child should be able to explain how they have solved a problem and why they have chosen a particular method. Using pictures and symbols can be a good way to explain your thought process.

How to help at home

There are lots of quick and easy ways that you can help your child to understand addition and subtraction. Here are just a few everyday ideas to support your child’s learning:

1. Use the language of addition and subtraction

Using the correct mathematical vocabulary will get your child used to deconstructing word problems, and will make them familiar with the kinds of words they will hear in school.

Try to use mathematical language like  add , altogether , more , plus , total ,   and sum when adding. When your child finds the answer to an addition calculation, encourage them to use the word total or sum . If they talk about the fact that you can add numbers in any order and get the same answer, encourage them to use the word commutative .

There is also a lot of mathematical vocabulary related to subtraction. When your child tells you the answer to a subtraction calculation, encourage them to refer to this as the difference . For example, ‘7 – 3 = 4’ could be read as ‘the difference between 7 and 3 is 4’. They should also try to use the language take away , subtract , minus , less , fewer , and so on.

Try writing out the addition and subtraction symbols (‘+’ and ‘–’) along with the related words on cards (for example,  add , altogether , more , plus , total , sum , take away , subtract , minus , less , and  fewer) . Help your child to link the words to the correct symbol. If necessary, help them to read some of the words.

2. Try calculating mentally

It’s important for your child to develop their mental calculation skills. It is useful in everyday life, especially when technology (and paper) may not be available or appropriate, such as when you are shopping. Confidence in mental maths will help your child when making quick estimates and checking their calculations, too.

Encourage your child to use different methods when calculating mentally, such as counting on, counting back, and partitioning numbers. Your child should use their knowledge of place value, rounding, and inverse operations to make estimates and check their answers.

If your child is working on a problem and they announce the answer, ask them to explain how they solved the problem. They could draw pictures or diagrams to help them explain their method.

Ask your child to tackle the activities below using mental maths to keep their skills sharp!

Activity: Missing numbers

Fill in the missing numbers.

Activity: Addition and subtraction

3. Play Place Value Pandemonium

Activity: place value pandemonium.

4. Try lots of different methods

Encourage your child to use different methods for solving addition and subtraction problems. These could include:

• Partitioning numbers into parts to add or subtract. For example, to solve the problem 243 + 65, we could partition each number. Encourage your child to explain this to you, and perhaps model it to them first:

‘I partitioned 243 into 200, 40, and 3. Then, I partitioned 65 into 60 and 5. Then, I added the ones: 5 + 3 which equal 8. Then, I added the tens: 40 + 60 = 100. Then, I have the 200. So, I added the 200 to the 100, and then added the 8, to get a total of 308.’

• Drawing pictures.
• Using number lines or hundred squares.
• Using written methods of column addition and subtraction.

Your child will understand subtraction as ‘taking away’ as well as ‘difference’. Methods could include:

• Placing groups of objects into two rows to compare and find the difference.
• Finding the difference between two numbers by counting back or counting up. For example, 27 – 18 could be interpreted as ‘what is the difference between 27 and 18?’ Your child may count back from 27 to 18 to find the difference of 9, or count up from 18 to 27 to find the difference of 9.
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3rd Grade Addition and Subtraction

Word problems.

Welcome to our 3rd Grade Addition and Subtraction Word Problems page. Here is our selection of free addition and subtraction word problem worksheets, which will help your child practice solving a range of addition and subtraction problems using 3-digit and 4-digit numbers.

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• 3 Digit Addition & Subtraction Word Problems
• 4 Digit Addition & Subtraction Word Problems
• 2-Step Addition & Subtraction Word Problems
• Easier Addition & Subtraction Worksheets
• More related resources
• Addition & Subtraction Word Problems up to 1000 Online Quiz

3-digit and 4-digit Word Problems

Each sheet consists of a range of 5 addition and subtraction word problems with numbers up to thousands.

There is a space on each sheet for working out, so that your child can write out the problem and solve it.

We have split the worksheets up into 3-digit word problems and 4-digit word problems.

Using these sheets will help your child to:

• add and subtract numbers with 3-digit and 4-digit numbers;
• solve addition and subtraction word problems with and without regrouping.
• recognise the language used in addition and subtraction - sum, total, difference, how many more, etc.
• solve problems involving more than 1 step.

3rd Grade Addition and Subtraction Word Problems

3-digit addition and subtraction word problems.

There are two versions of each sheet.

The first version (version A) contains problems where no regrouping is needed.

The second version (version B) contains similar problems but regrouping is needed to solve them.

Answers have been provided with each sheet, along with the calculation needed to solve the problem.

The following sheets are all 1-step addition or subtraction word problems.

• 3-Digit Addition and Subtraction Word Problems Sheet 1A (no regrouping)
• PDF version
• 3-Digit Addition and Subtraction Word Problems Sheet 1B
• 3-Digit Addition and Subtraction Word Problems Sheet 2A (no regrouping)
• 3-Digit Addition and Subtraction Word Problems Sheet 2B

4-digit Addition and Subtraction Word Problems

The word problems all involve either addition or subtraction (both with and without regrouping).

• 4-Digit Addition and Subtraction Word Problems Sheet 1
• 4-Digit Addition and Subtraction Word Problems Sheet 2

Harder 2-Step Addition and Subtraction Word Problems

These problems are trickier than those above.

Each problem involved two steps to solve, and may involve just addition, just subtraction or both operators.

There are 4 problems on each sheet, and more space to work out the solutions.

• 2-Step Addition Subtraction Problems up to 3-digits Sheet 1
• 2-Step Addition Subtraction Problems up to 4-digits Sheet 1

Looking for some easier worksheets?

Take a look at our Subtraction word problems for first graders.

On this page, your child will learn to work out basic subtraction word problems with numbers to 20.

• 2nd Grade Addition and Subtraction Word Problems (up to 100)

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More 3rd Grade Addition and Subtraction Worksheets

Here you will find some more of our Addition and Subtraction Worksheet generators for creating your own bespoke addition and subtraction worksheets.

• Addition Subtraction Fact Worksheets (randomly generated)
• Column Addition and Subtraction Worksheets (randomly generated)

More 3rd Grade Math Word Problems

Using the 3rd Grade Math worksheets will help your child to:

• apply their addition, subtraction, and multiplication skills;
• develop their knowledge of fractions;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems.

These sheets involve solving one or two more challenging longer problems.

• 3rd Grade Math Problems

These sheets involve solving many 'real-life' problems involving data.

• Math Word Problems for kids 3rd Grade

These sheets involve solving 3-digit and 4-digit addition word problems.

• Addition Word Problems 3rd Grade (3- and 4-digits)

These sheets involve solving 3-digit and 4-digit subtraction problems.

• Subtraction Word Problems 3rd Grade

These sheets involve solving a range of multiplciation problems.

• Multiplication Word Problem Worksheets 3rd Grade

These sheets involve solving a range of division problems.

• Division Worksheets Grade 3 Word Problems

Addition and Subtraction Word Problems to 1000 Online Quiz

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This quick quiz tests your knowledge and skill at solving addition and subtraction word problems within 1000.

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3rd Grade Math Worksheets: Addition

Free addition worksheets from k5 learning.

Our 3rd grade addition worksheets include both " mental addition problems" intended for students to solve in their heads and multi-digit column form addition questions giving practice in computational skills.

Sample Grade 3 Addition Worksheet

More addition worksheets

Find all of our addition worksheets , from adding by counting objects  to addition of multiple large numbers in columns.

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Y3 problem-solving: addition

What are problem-solving skills in Year 3 maths? 

In Year 3 maths, children will begin to develop problem-solving skills that involve applying mathematical concepts to real-world situations and puzzles. 

Here are some key problem-solving skills that are typically emphasised at this stage:

• Understanding the problem : reading carefully and grasping what's being asked.
• Identifying relevant information : picking out important numbers and relationships between the numbers.
• Choosing appropriate strategies : selecting the best method for solving the problem.
• Breaking down the problem : dividing complex problems into smaller parts.
• Trial and error : experimenting with different approaches.
• Verbalising and communicating solutions : expressing their ideas and thought process.
• Reflecting on solutions : evaluating outcomes and considering alternatives.

How will this Year 3 problem-solving worksheet help your child?

This downloadable PDF worksheet for Year 3 problem-solving was created by a seasoned educator with the purpose of helping children practise their problem-solving skills in relation to addition. They will need to use their addition skills to solve the real-world problems provided. 

Once they're feeling confident with their addition problem-solving skills, they can move onto our Y3 problem-solving: division activity or our Y3 problem-solving: subtraction worksheet. 

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Problem-Solving Investigations for Year 3 Addition and Subtraction

Last updated

9 August 2019

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Resources included (8)

Counting up subtraction with nos>100 - Problem-Solving Investigation - Year 3

Expanded addition: 3-digit numbers - 2 - Problem-Solving Investigation - Year 3

Add 3-digit numbers using expanded addition - Problem-Solving Investigation - Year 3

Use different strategies to subtract - Problem-Solving Investigation - Year 3

Problem-Solving Investigation: Mental calculation – complements to 100 (Y3 Addition & Subtraction)

Problem-Solving Investigation: Using place value to add/subtract (Year 3 Addition and Subtraction)

Problem-Solving Investigation: Add/subtract: efficient mental strategies (Yr 3 Addition/Subtraction)

Problem-Solving Investigation: Using number facts to add/subtract (Year 3 Addition and Subtraction)

These in-depth Year 3 Addition and Subtraction problem-solving investigations will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas.

These open-ended mathematical activities cover the following objectives:

• Using number facts to add/subtract
• Add/subtract: efficient mental strategies
• Using place value to add/subtract
• Mental calculation – complements to 100
• Use different strategies to subtract two numbers
• Add 3-digit numbers using expanded addition
• Subtract 2-digit numbers from numbers over 100 using counting up

In-depth Investigation: Puzzling Squares Children use reasoning skills to solve a number puzzle. They use numbers 0 to 7 to make a total of 10 on each side of a square.

In-depth Investigation: Twisted Subtractions Children subtract a number which is the reverse of another, e.g. 62 - 26.

In-depth Investigation: Magic 147 Children arrange the ‘nearly numbers’ in a square so that each row and column adds to Magic 147.

In-depth Investigation: Closest to 100 Following simple rules children find ways to make 100 based on four dice throws. They practise adding four numbers with a total around 100 and use this to find a solution.

In-depth Investigation: Magic Square Differences Children use the magic square to generate two-digit numbers and explore difference patterns.

In-depth Investigation: Expanded Elevens Children use base 10 equipment to create 3-digit numbers to add using expanded column addition.

In-depth Investigation: Pattern Subtractions Children subtract two-digit from three-digit numbers, by counting up, and look out for patterns in the numbers.

In-depth Investigation: Next Door Additions Children add pairs of three-digit numbers and look for patterns in the digital roots of the answers.

These problem-solving investigations are part of our Year 3 Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.

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Addition and Subtraction KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

This is an adding game for two players. Can you be the first to reach the target?

Strike it Out

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Use these four dominoes to make a square that has the same number of dots on each side.

Super Shapes

The value of the circle changes in each of the following problems. Can you discover its value in each problem?

Always, Sometimes or Never? Number

Are these statements always true, sometimes true or never true?

First Connect Three

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

True or False?

Without doing lots of calculations, can you decide which of these number sentences are true? How do you know?

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

Buying a Balloon

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

Build it Up

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

Planning a School Trip

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

Fifteen Cards

Can you use the information to find out which cards I have used?

A Mixed-up Clock

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

Six Numbered Cubes

This task combines spatial awareness with addition and multiplication.

Can you go through this maze so that the numbers you pass add to exactly 100?

Finding Fifteen

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

Domino Square

Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?

Sealed Solution

Ten cards are put into five envelopes so that there are two cards in each envelope. The sum of the numbers inside it is written on each envelope. What numbers could be inside the envelopes?

Amy's Dominoes

Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

Four bags contain a large number of 1s, 3s, 5s and 7s. Can you pick any ten numbers from the bags so that their total is 37?

Six Ten Total

This challenge combines addition, multiplication, perseverance and even proof.

Twenty Divided Into Six

Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?

Roll These Dice

Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

Dice in a Corner

How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

The Dice Train

This dice train has been made using specific rules. How many different trains can you make?

Subtraction Surprise

Try out some calculations. Are you surprised by the results?

4 by 4 Mathdokus

Can you use the clues to complete these 4 by 4 Mathematical Sudokus?

Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Three Neighbours

Take three consecutive numbers and add them together. What do you notice?

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

50 year 3 maths questions

Practise your maths skills with these 50 math questions for year 3 , covering addition, subtraction, place value, measurement, time, money, and geometry! Answers included.

Author Michelle Griczika

Published February 2024

• Key takeaways
• Mastering addition and subtraction skills helps us solve mathematical puzzles and apply them to real-life situations.
• Understanding place value enables us to correctly read, write, and compare numbers, developing our number sense and mathematical reasoning.
• Solving measurement word problems helps us apply mathematical concepts to practical scenarios, improving our problem-solving and critical thinking abilities.
• Exploring time and money concepts allows us to understand the world around us, manage our daily routines effectively, and develop essential life skills.
• Recognising shapes and their properties opens our eyes to the diverse world of geometry, helping us understand how objects are structured and enhancing our spatial awareness.

Table of contents

• Addition & subtraction
• Place value
• Measurement
• Time & money

Hello, year 3 mathematicians! Are you ready for some mind-boggling maths challenges?

We will be going over important maths skills needed to strengthen understanding of important mathematical concepts. Let’s dive in!

Section 1: Addition and subtraction

Section 2: place value.

Use the greater than symbol >, less than symbol <, or equal to symbol = to answer.

Answer: <

Answer: >

Section 3: Measurement

Answer: 53 centimetres

Answer: 38 centimetres

Answer: 32 centimetres

Answer: 35 centimetres

Answer: 55 centimetres

Answer: 68 centimetres

Answer: 84 centimetres

Answer: 40 centimetres

Answer: 50 centimetres

Section 4: Time & Money

Look at the analog clock and write the time to the nearest five minutes:

What time is shown on the digital clock?

Answer: £4.34

Answer: £5.08

Answer: 25 pence

Answer: £3.50

Answer: £4.37

Section 5: Geometry

Answer: Triangle

Answer: Square

Answer: Pentagon

Answer: Hexagon

Answer: Equilateral Triangle

Answer: Trapezoid

Answer: Cube

Maths practice for year 3 is super important because we use it every single day! For extra maths practice that comes in the form of fun maths games and interactive practice problems, try Doodle Learning’s maths help app .

Lesson credits

Michelle Griczika

Michelle Griczika is a seasoned educator and experienced freelance writer. Her years teaching coupled with her double certification in early childhood education lend depth to her understanding of diverse learning stages. Michelle enjoys running in her free time and undertaking home projects.

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